Pith Number

pith:7PHR23MR

pith:2010:7PHR23MR5UU43QIPEPYVEQIAY5

not attested not anchored not stored refs pending

Equations of Mathematical Physics and Compositions of Brownian and Cauchy processes

Enzo Orsingher, Luisa Beghin, Lyudmyla Sakhno

arxiv:1008.0928 v1 · 2010-08-05 · math.PR · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PHR23MR5UU43QIPEPYVEQIAY5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:42:34.960391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbcf1d6d91ed29cdc10f23f1524100c7530079bce63a989c5902c53dc9d91387

Aliases

arxiv: 1008.0928 · arxiv_version: 1008.0928v1 · doi: 10.48550/arxiv.1008.0928 · pith_short_12: 7PHR23MR5UU4 · pith_short_16: 7PHR23MR5UU43QIP · pith_short_8: 7PHR23MR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7PHR23MR5UU43QIPEPYVEQIAY5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fbcf1d6d91ed29cdc10f23f1524100c7530079bce63a989c5902c53dc9d91387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acfb9eefeed95760c015b265555cf6402d1d977fb3729ad494f3250ed71f6321",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-05T08:51:53Z",
    "title_canon_sha256": "92c05e7710b9e4930cf7595523fd4fe0ec7d3c2fc57dd2c1f424ccea5607803b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0928",
    "kind": "arxiv",
    "version": 1
  }
}